Big White... Not Quite.
The protestant (mostly Swedish, and under the command of the Swedish king) forces in northern headed first towards Meissen - the most vulnerable member of the Lübeck Coalition. The Saxon lands were very wealthy, and moreover, due to lying the most to the south, exposed to an attack by the Habsburg forces. This first field of battle was a good choice - indeed, the huge Habsburg armies were all directed towards the city of Dresden. Together with the allied troops of the Archbishopric of Cologne, they lay siege to the city walls, some 30'000 of them. Thankfully, Gustav Adolf's relief army was underway, and was able to quickly rout the enemy regiments. The battle of Dresden was a show of the king's military skill as well as his recklessness - he led the front line of a cavalry charge, a few times being in great danger himself.
For the next battles, Gustav was much better prepared: he set up a fortified camp a few miles southwest of Dresden, near the main road to Freiburg, Chemnitz, and later, Weimar (in Thüringen, under Habsburg occupation); the only one leading to the city from the part of central Germany where the catholics were gathering their armies. The two consecutive battles, fought against the badly-timed reinforcements, were quick successes for the Swedish king as well. Thus, the first half of the year 1615 was gone, and the protestant main force started to prepare for a general offensive in central Germany.
In the meantime, smaller armies - a Pomeranian one under the king Bogusław XIII, and a Saxon one (from the Margraviate of Saxony, a Pomeranian vassal, not to be confused with the Electorate in Dresden), entered, unopposed, Habsburg-held Bohemia: they laid siege to the fortresses in the mountain passes of Sudeten. The Saxons withdrew due to having too few cannons at their disposal, but Bogusław took the city Hradec Kralove and it's surroundings and proceeded towards Šumava region. At that time, the Bohemians under Valdštejn (Wallenstein) were operating in Franconia, with the ultimate aim being München in Bavaria.
The preparations for a grand offensive lasted some 5 months, and finally, in the end of December 1615, Gustav's army was directed into Thüringen, where they encountered another large Imperial force, sized almost equally to his own (some 48'000 men on each side). The battle that took place in the last days of January 1616, outside Weimar, was a big success for the protestants: despite significant (another 16'000) reinforcements arriving on time for the Habsburg army, it was decimated and routed. Afterwards, it was withdrawn into Austria proper and nothing was heard of it until October 1616, when it took by surprize (however reduced in size to 25'000 men) the army of Bogusław XIII, who had been laying siege to Bratislava in Slovakia.
The siege of Weimar, conducted by Gustav Adolf, ended after a few assaults in June 1616. The Swedes under Pomeranian banners then moved towards Westphalia, ruled by the Archbishop of Cologne. Münster region was to be taken first, then Kleve, Köln, Westfalen and Oberhessen. All resistance by the demoralized armies of the greedy Archbishop were easily destroyed, and the sieges of the well-fortified cities could progress without problems.
Seeing the quite successful course of the war, Gustav Adolf as well as the Bohemians demanded of Bogusław the fulfillment of the agreement from Lübeck. In accordance to it, all Bohemian lands liberated from Austria were handed over to the Czechs (February 1617), and, some time earlier, Swedish forces under Gustav's brilliant generals entered Danish-held Skåne and Bohuslän, thus starting another war against the Danes. Soon afterwards, a separate peace agreement was signed with the Habsburg emissaries in Praha: on April 11, 1617 they ceded all territory dominated by the Czechs to Bohemia. The Pomeranian forces, thus freed from their southern front, were then sent to Scandinavia, in a gesture towards Gustav Adolf, whose army remained in Westfalen in order to finish off the far too rich in lands Archbishop of Cologne.
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I hope this isn't coo chaotically written; I didn't know how to describe the action on each front, and I really hate the schoolbook style of completely disregarding everything else while discussing a certain campaign, for example. Therefore, I decided to explain everything chronologically
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I hope you'll enjoy it.